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Showing 1 to 11 of 11 for “"odd degree"”.
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On Homogeneous Diagonal Congruences of Odd Degree
Made available in DSpace on 2014-12-09T22:17:36Z (GMT). No. of bitstreams: 1 6706692.pdf: 4255711 bytes, checksum: 4b018e9b8a1387099d61fcbe54597957 (MD5) Previous issue date: 1966
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Torsion Subgroups Of Rational Elliptic Curves Over Odd Degree Galois Fields
… then determine the possible structures over all odd degree Galois fields. Finally, we explicitly determine the sets Φ_Q^{Gal}(d) for all odd d based on the prime factorization for d while proving a number of other related results.</p>
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Torsion Subgroups of Rational Elliptic Curves Over Odd Degree Galois Fields
… then determine the possible structures over all odd degree Galois fields. Finally, we explicitly determine the sets Φ_Q^{Gal}(d) for all odd d based on the prime factorization for d while proving a number of other related results.</p>
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Secondary Terms in Asymptotics for the Number of Zeros of Quadratic Forms
… and $\delta=0$ or $1$, according as $n$ is odd or even. For dim$V = 3$ and dim$V = 4$, Heath-Brown also gave similar asymptotics. More recently, Getz gave an asymptotic of the form: $c_1 B^{n-2} + c_2 B^{n/2} + O_{J,\epsilon}(B^{n/2+\epsilon-1})$ when $n$ is even, in which $c_2 \in …
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The odd chern character and obstruction theory
… in the paper of Baum & Douglas, [BmDg] the odd-degree component of the Chern character is is analyzed. Our presentation uses the obstruction theory definition Chern characteristic classes in order to emphasize the connections with the even-degree component (see Theorem 4.3.1) and leads to a …
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Uniqueness of p-local truncated Brown-Peterson spectra
When p is an odd prime, we prove that the Fp-cohomology of BP⟨n⟩ as a module over the Steenrod algebra determines the p-local spectrum BP⟨n⟩. In particular, we prove that the p-local spectrum BP⟨n⟩ only depends on its p-completion BP⟨n⟩p̂. As a corollary, this proves that the p-local homotopy type …
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Primes of the form X² + nY² in function fields
… a square-free polynomial over F_q, where q is an odd prime power. In this work, we determine which irreducible polynomials p in F_q[x] can be represented in the form X^2+nY^2 with X, Y in F_q[x]. We restrict ourselves to the case where X^2+nY^2 is anisotropic at infinity. As in the classical case …
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An investigation into a method of designing insertion loss ladder filters avoiding incompatibilities
… so far only to symmetrical filters (i.e. of odd degree n), had in the past been investigated only for n=7. In this thesis the mathematical results obtained by Saraga are extended and generalised. Practical design tests carried out for n=7 (using artificially introduced inaccuracies to test …
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A Linear RF Power Amplifier with High Efficiency for Wireless Handsets
… the linearity are presented, such as avoiding odd-degree harmonics, and linearizing the relationship between the output current and the input voltage of the amplifier at the fundamental frequency. The concept of bias depression in HBT transistors is introduced with a bias circuit that reduces …
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Topics in the algebraic theory of higher degree forms
… be an integer and let F be a field. A form of degree d over F is a polynomial of homogeneous degree d with coefficients in F. In degree d=2 there is an extensive theory of quadratic forms. We consider forms of degree d>2. The following are among the new results we have proved: 1. A nonsingular …
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Algebraic relaxations and hardness results in polynomial optimization and Lyapunov analysis
… can decide whether a multivariate polynomial of degree four (or higher even degree) is globally convex. This solves a problem that has been open since 1992 when N. Z. Shor asked for the complexity of deciding convexity for quartic polynomials. We also prove that deciding strict convexity, strong …